Base | Representation |
---|---|
bin | 10011001001100111000001… |
… | …111100000000111101000000 |
3 | 102001012122222022121221210000 |
4 | 103021213001330000331000 |
5 | 42014403222431124441 |
6 | 455043345050440000 |
7 | 23511634040100000 |
oct | 2311470174007500 |
9 | 361178868557700 |
10 | 84223267442496 |
11 | 24921983858926 |
12 | 9543049a33000 |
13 | 37cc2b2577970 |
14 | 16b25dc200000 |
15 | 9b0c918a52b6 |
hex | 4c99c1f00f40 |
84223267442496 has 3360 divisors, whose sum is σ = 338958958238208. Its totient is φ = 20504334090240.
The previous prime is 84223267442417. The next prime is 84223267442497. The reversal of 84223267442496 is 69424476232248.
84223267442496 is a `hidden beast` number, since 8 + 4 + 2 + 2 + 32 + 6 + 74 + 42 + 496 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (222953472) is a multiple of the sum of its prime divisors (162).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (84223267442497) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1380709302306 + ... + 1380709302366.
Almost surely, 284223267442496 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 84223267442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169479479119104).
84223267442496 is an abundant number, since it is smaller than the sum of its proper divisors (254735690795712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84223267442496 is an equidigital number, since it uses as much as digits as its factorization.
84223267442496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 209 (or 162 counting only the distinct ones).
The product of its digits is 222953472, while the sum is 63.
The spelling of 84223267442496 in words is "eighty-four trillion, two hundred twenty-three billion, two hundred sixty-seven million, four hundred forty-two thousand, four hundred ninety-six".
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